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Finding the Fourth Proportional to 58.88, 81.32 and 42.56

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Solution

The fourth proportional to 58.88, 81.32 and 42.56 is: 58.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.88 : 81.32 = 42.56 : x
  2. Step 2: Convert to fraction form
    58.88/81.32 = 42.56/x
  3. Step 3: Cross multiply
    58.88x = 81.32 × 42.56
  4. Step 4: Simplify right side
    58.88x = 3,460.98
  5. Step 5: Solve for x
    x = 3,460.98/58.88
  6. Step 6: Final answer
    x = 58.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.